English

Analytical formula for the Uehling potential

Nuclear Theory 2012-10-23 v4 Atomic Physics

Abstract

The closed analytical expression for the Uehling potential is derived. The Uehling potential describes the lowest-order correction on vacuum polarisation in atomic and muon-atomic systems. We also derive the analytical formula for the interaction potential between two electrically charged point particles which includes correction to the vacuum polarisation, but has correct asymptotic behaviour at larger rr. Our three-term analytical formula for the Uehling potential opens a new avenue in the study of the vacuum polarisation in light atomic systems.

Keywords

Cite

@article{arxiv.1110.3433,
  title  = {Analytical formula for the Uehling potential},
  author = {Alexei M. Frolov and David M. Wardlaw},
  journal= {arXiv preprint arXiv:1110.3433},
  year   = {2012}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1103.2044

R2 v1 2026-06-21T19:20:48.920Z